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Finding the Fourth Proportional to 4,952.99, 7,430.78 and 1,442.92

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Solution

The fourth proportional to 4,952.99, 7,430.78 and 1,442.92 is: 2,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.99 : 7,430.78 = 1,442.92 : x
  2. Step 2: Convert to fraction form
    4,952.99/7,430.78 = 1,442.92/x
  3. Step 3: Cross multiply
    4,952.99x = 7,430.78 × 1,442.92
  4. Step 4: Simplify right side
    4,952.99x = 10,722,021.08
  5. Step 5: Solve for x
    x = 10,722,021.08/4,952.99
  6. Step 6: Final answer
    x = 2,164.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.